PSLE In the figure, PQRS is a rectangle. The points U, V, and W lie on the rectangle PQRS. STU and WTV are straight lines.
- Find ∠UVT.
- Find ∠TSW.
(a)
∠QVW = ∠SWV = 83° (Alternate angles)
∠UVT
= 83° - 56°
= 27°
(b)
∠UTV
= 180° - 92° - 27°
= 61° (Angles sum of triangle)
∠STW = 61° (Vertically opposite angles)
∠ TSW
= 180° - 83° - 61°
= 36° (Angles sum of triangle)
Answer(s): (a) 27°; (b) 36°